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{\bf EPS-HEP99} \\
{\bf Abstract \# 000} \\
{\bf Parallel sessions: 3} \\
{\bf Plenary sessions:  3}
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\abstractheader{ {\bf Measurements of Inclusive Cross Sections 
in Diffractive Processes at HERA } \\ \\
H1 Collaboration \\
DESY, Notkestr.85, D-22607 Hamburg, Germany
}

\abstractbody{
Measurements are presented of the cross section of the process
$\gamma^{(\ast)} p \rightarrow XY$, where there is a large rapidity gap
between the systems X and Y, for photoproduction and deep inelastic
scattering. The differential photoproduction cross section is studied in
the range of centre-of-mass energies $ 60 < W < 270 {\rm\ GeV}$ as a
function of the invariant masses $M_X$ and $M_Y$ of the systems produced
at, respectively, the photon and proton vertex.  The results are
interpreted in the framework of a triple-Regge model. The diffractive
structure function of the proton, $F_2^{D(3)} (\beta, Q^2, x_{_{I\!\!P}})$
is studied for the kinematic region $0.4 \leq Q^2 \leq 800 \ {\rm GeV^2}$,
$0.001 \leq \beta \leq 0.9$ with $x_{_{I\!\!P}} < 0.05$. Regge
factorisation is tested through an analysis of the $x_{_{I\!\!P}}$
dependence. Diffractive parton distributions are extracted through an
analysis of the $\beta$ and $Q^2$ dependence. Further perturbative QCD
models based on the diffractive scattering of partonic fluctuations of the
photon are also confronted with the data.
}

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